scholarly journals Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds

2017 ◽  
Vol 145 (8) ◽  
pp. 3543-3560 ◽  
Author(s):  
Alex Casella ◽  
Feng Luo ◽  
Stephan Tillmann
Keyword(s):  
Ideal Triangulations

scholarly journals A METHOD TO FIND IDEAL POINTS FROM IDEAL TRIANGULATIONS

2010 ◽  
Vol 19 (04) ◽  
pp. 509-524
Author(s):  
YUICHI KABAYA
Keyword(s):  
Linear Algebra ◽  
Character Variety ◽  
Ideal Triangulations ◽  
Ideal Points

We give a method to find ideal points of the character variety of a 3-manifold with toral boundary. This can be easily carried out by using linear algebra.

scholarly journals On minimal ideal triangulations of cusped hyperbolic 3‐manifolds

2020 ◽  
Vol 13 (1) ◽  
pp. 308-342
Author(s):  
William Jaco ◽  
Hyam Rubinstein ◽  
Jonathan Spreer ◽  
Stephan Tillmann
Keyword(s):  
Minimal Ideal ◽  
Ideal Triangulations

Every finite group action on a compact 3-manifold preserves infinitely many hyperbolic spatial graphs

2014 ◽  
Vol 23 (06) ◽  
pp. 1450034 ◽  
Author(s):  
Toru Ikeda
Keyword(s):  
Finite Group ◽  
Group Action ◽  
Group Actions ◽  
Infinite Family ◽  
Finite Group Action ◽  
Finite Group Actions ◽  
Spatial Graph ◽  
Cell Decompositions ◽  
Spatial Graphs ◽  
Ideal Triangulations

We consider symmetries of spatial graphs in compact 3-manifolds described by smooth finite group actions. This paper provides a method for constructing an infinite family of hyperbolic spatial graphs with given symmetry by connecting spatial graph versions of hyperbolic tangles in 3-cells of polyhedral cell decompositions induced from triangulations of the 3-manifolds. This method is applicable also to the case of ideal triangulations.

scholarly journals Minimum ideal triangulations of hyperbolic 3-manifolds

1991 ◽  
Vol 6 (2) ◽  
pp. 135-153 ◽  
Author(s):  
Colin Adams ◽  
William Sherman
Keyword(s):  
Ideal Triangulations

scholarly journals An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds

1996 ◽  
Vol 124 (12) ◽  
pp. 3905-3911 ◽  
Author(s):  
Masaaki Wada ◽  
Yasushi Yamashita ◽  
Han Yoshida
Keyword(s):  
Ideal Triangulations
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